Legendary game-show host Alex Trebek hasn’t made up his mind who will be getting his vote this fall, but he puts forth solidly conservative themes when talking politics.

“People [are] relying too much on the government,” the “Jeopardy” star said over the weekend while holding forth with the press during a day of taping in Washington.

“If you want to tax high earners more, it would be nice if you told us where you are spending the money. If you are going to use our extra taxes to reduce the debt, fine. If you are going to use our extra taxes to finance new programs, whoa, let’s slow down a moment,” Trebek added, when asked by POLITICO which political issues concern him most.

“The same word that I am using with my children, a lot of people are using now: a sense of ‘entitlement’ in our society. I think we need to get away from that.”

But don’t mistake Trebek for a partisan: He declined to say if he would vote for President Barack Obama or the presumptive Republican nominee, Mitt Romney, but said that he would like to ask them questions at a presidential debate if given a chance.

“I don’t know who I will vote for. I’m an independent, one of the vast gray mass in the middle. I want to see what’s going on, I want to see what’s happening in the country before I cast my ballot,” Trebek said. “I would love to be one of the questioners at a presidential debate. I think I would be able to bring a little bit of [an] everyman approach, and not the slightly more intellectual approach that some of the reporters bring to it.”

On Saturday, Trebek taped five “Jeopardy” shows at DAR Constitution Hall, featuring some of the city’s most popular media figures. During commercial breaks in each taping, he conducted extensive question-and-answer sessions with the 2,000 spectators.

The 28-year veteran of the American game-show institution refers often, and jokingly, to his age — he’s 71 — and his own “senior moments,” quipping that his knowledge of pop culture stopped when Sinatra passed away in 1998.

“Blondes or brunettes?” an audience member shouted out. “At this stage in life? Gray,” Trebek quipped.

“No,” he snarls, with comedic effect, after being asked yet again about whether he would grow back his legendary mustache, a look he abandoned in 2001.

He can have the occasional awkward moment: A question from a young girl about whether he had any pets led to an audience-silencing mention of how his Yorkshire terrier-Pomeranian mix, Spammer, was eaten by a coyote.

“I like to know if people have pets,” Emma Jackson, 9, told POLITICO later. “It was sad. I really love animals. It’s kind of sad to hear about them dying.”

Trebek has a genuine fondness for Washington — and is a loyal Redskins fan.

“Washington, D.C., is a very special city,” Trebek said, even though he had earlier grumbled to the audience about his frustration at the closing of a Filene’s Basement store near his usual hotel near the White House, and complained about the drivers in the nation’s capital.

“Has anyone in Washington, D.C., heard about the phrase, ‘Do not block the box?’” he asked.